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Finding the Fourth Proportional to 6,336.64, 8,742.39 and 3,817.80

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Solution

The fourth proportional to 6,336.64, 8,742.39 and 3,817.80 is: 5,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.64 : 8,742.39 = 3,817.80 : x
  2. Step 2: Convert to fraction form
    6,336.64/8,742.39 = 3,817.80/x
  3. Step 3: Cross multiply
    6,336.64x = 8,742.39 × 3,817.80
  4. Step 4: Simplify right side
    6,336.64x = 33,376,652.83
  5. Step 5: Solve for x
    x = 33,376,652.83/6,336.64
  6. Step 6: Final answer
    x = 5,267.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.